document.write( "Question 126340This question is from textbook Mathematics for Technicians
\n" ); document.write( ": I am stuck on this problem after I have tried to work it out several different ways, but am unable to get the same answer as the textbook. Your assistance would be greatly appreciated. Thank you.
\n" ); document.write( "The problem is as follows:
\n" ); document.write( "2+X/X^2+X-3/3X.
\n" ); document.write( "This is how I have gone about this.
\n" ); document.write( "2+X/X^2+X-3/3X
\n" ); document.write( "which gives me
\n" ); document.write( "6X+3X^2/3X^3+X^3-3X^2/3X^3
\n" ); document.write( "which gives me
\n" ); document.write( "6X+3X^2+X^3-3X^2/3X^3
\n" ); document.write( "which gives me
\n" ); document.write( "X^3+3X^2-3X^2+6X/3X^3
\n" ); document.write( "which gives me
\n" ); document.write( "X^3+6X/3X^3
\n" ); document.write( "And I simply cannot see how the textbook has come up with the answer of
\n" ); document.write( "X^2+6/3X^2
\n" ); document.write( "Please would you be able to show me with an explanation as to why each step is done. Thank you so very much.
\n" ); document.write( "Cheers D. \n" ); document.write( "
Algebra.Com's Answer #92551 by ilana(307)\"\" \"About 
You can put this solution on YOUR website!
You actually didn't do anything wrong, but you did do this a longer way than necessary. What I would have done is used 3x^2 as the common denominator, rather than 3x^3. So I would have multiplied the first numerator by 3 and the second by x. Then you quickly get the book's answer. However, your answer of (X^3+6X)/3X^3 simplifies to the book's answer, because you can factor out x/x (you can take an x out of each term), leaving you with (x^2+6)/3x^2. Nice job, you were so close! \n" ); document.write( "
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